시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
10 초 128 MB 330 108 85 42.079%

문제

자동차 여러 대가 그림 1과 같이 한 줄로 이동하고 있다. 각 자동차의 색상은 한 글자로 나타내며, 인접한 두 차 사이의 거리는 1이다. 그림 1에는 각 차의 위치도 적혀져 있다.

그림 1. 도로를 이동하는 여러 가지 색상의 자동차

각각의 색상 c에 대해서, location(c)는 색상 c로 색칠된 모든 차의 위치의 집합을 나타낸다. 색상의 길이 L(c)는 다음과 같이 정의한다.

\(L(c) = max \left\{location(c)\right\} - min \left\{location(c)\right\}\)

예를 들어, 그림 1에서 location(G) = {1,5,6}, location(Y) = {2,7}, location(B) = {3}, location(R) = {4,8}이 되고, 각 색상의 길이와 모든 길이의 합은 아래와 같다.

색상 G Y B R 합계
L(c) 5 5 0 4 14

경주시의 거의 모든 도로는 적어도 500년 전에 건설되었다. 비가 온 이후에는 도로에 물 웅덩이가 많이 생기고, 여행객은 도로 상황이 좋지 않음을 오랜 기간 항의했다. 경주시는 문화재 보호에 더 집중하고 있기 때문에, 이번에 도로 하나만 수리를 하려고 한다. 이번에 고칠 도로는 4차선 도로이고, 각 방향으로 2차선 도로이다.

수리를 하는 도중에 도로를 완전히 통제하면, 시민들의 불편은 매우 심해지게 된다. 따라서, 각 방향으로 한 차선씩 먼저 통제하고 수리를 하려고 한다. 수리되는 구간에서 도로는 1차선으로 좁아지게 되고, 2차선으로 이동하던 자동차는 1차선으로 합쳐져야 한다.

예를 들어, 그림 2와 같이 두 차선이 그림 3과 같이 한 차선으로 합쳐지는 경우를 생각해보자. 같은 색 자동차를 구분하기 위해, 각 차에 숫자를 붙였다.

그림 2. 차선이 합쳐지기 전에 두 차선을 이동하는 자동차

그림 3은 한 차선으로 합쳐지는 두 시나리오를 나타낸다. 그림 3에서 볼 수 있듯이, 한 차선의 모든 차가 진입한 이후에 다른 차선의 차가 진입할 필요는 없다. 서로 번갈아가면서 한 차선으로 진입할 수 있다. 합쳐진 이후에도 자동차 사이의 거리는 1이다.

합쳐진 이후 (시나리오 1):

합쳐진 이후 (시나리오 2):

그림 3. 한 차선으로 합쳐진 이후의 도로 상황 (두 가지)

그림 3에 나온 각각의 시나리오에 대해서, 색상의 길이와 합을 구해보면 아래와 같다.

색상 G Y B R 합계
L(c): 시나리오 1 7 3 7 2 19
L(c): 시나리오 2 1 7 3 1 12

그림 3에 나와있는 방법 말고도 차선을 합치는 방법은 여러 가지가 있다.

합쳐지기 전, 두 차선의 자동차 색상 정보가 주어진다. 이때, 색상의 길이의 합이 가장 최소가 되게 차선을 합치는 방법을 찾는 프로그램을 작성하시오.

입력

입력은 T개의 테스트 케이스로 이루어져 있다. 첫째 줄에 테스트 케이스의 수 T가 주어진다. 각 테스트 케이스는 두 줄로 이루어져 있다. 첫째 줄에는 한 차선의 자동차 색상 정보가 주어지며, 둘째 줄에는 다른 차선의 자동차 색상 정보가 주어진다. 각 색상은 알파벳 대문자로 나타낸다. 즉, 색상의 개수는 26개이다. 한 차선에 있는 자동차의 수는 1보다 크거나 같으면, 5,000을 넘지 않는다.

출력

각 테스트 케이스 마다, 한 차선으로 합쳐진 이후의 색상 길이의 합의 최솟값을 출력한다.

예제 입력 1

2
AAABBCY
ABBBCDEEY
GBBY
YRRGB

예제 출력 1

10
12
[{"problem_id":"8902","problem_lang":"0","title":"\uc0c9\uc0c1\uc758 \uae38\uc774","description":"<p>\uc790\ub3d9\ucc28 \uc5ec\ub7ec \ub300\uac00 \uadf8\ub9bc 1\uacfc \uac19\uc774 \ud55c \uc904\ub85c \uc774\ub3d9\ud558\uace0 \uc788\ub2e4. \uac01 \uc790\ub3d9\ucc28\uc758 \uc0c9\uc0c1\uc740 \ud55c \uae00\uc790\ub85c \ub098\ud0c0\ub0b4\uba70, \uc778\uc811\ud55c \ub450 \ucc28 \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 1\uc774\ub2e4. \uadf8\ub9bc 1\uc5d0\ub294 \uac01 \ucc28\uc758 \uc704\uce58\ub3c4 \uc801\ud600\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl1.png\" style=\"height:69px; width:460px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">\uadf8\ub9bc 1. \ub3c4\ub85c\ub97c \uc774\ub3d9\ud558\ub294 \uc5ec\ub7ec \uac00\uc9c0 \uc0c9\uc0c1\uc758 \uc790\ub3d9\ucc28<\/p>\r\n\r\n<p>\uac01\uac01\uc758 \uc0c9\uc0c1 c\uc5d0 \ub300\ud574\uc11c, location(c)\ub294 \uc0c9\uc0c1 c\ub85c \uc0c9\uce60\ub41c \ubaa8\ub4e0 \ucc28\uc758 \uc704\uce58\uc758 \uc9d1\ud569\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uc0c9\uc0c1\uc758 \uae38\uc774 L(c)\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud55c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\">\\(L(c) = max \\left\\{location(c)\\right\\}&nbsp;- min \\left\\{location(c)\\right\\}\\)<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \uadf8\ub9bc 1\uc5d0\uc11c location(G) = {1,5,6}, location(Y) = {2,7}, location(B) = {3}, location(R) = {4,8}\uc774 \ub418\uace0, \uac01 \uc0c9\uc0c1\uc758 \uae38\uc774\uc640 \ubaa8\ub4e0 \uae38\uc774\uc758 \ud569\uc740 \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:25%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\uc0c9\uc0c1<\/th>\r\n\t\t\t<th>G<\/th>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<th>B<\/th>\r\n\t\t\t<th>R<\/th>\r\n\t\t\t<th>\ud569\uacc4<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>L(c)<\/th>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>14<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uacbd\uc8fc\uc2dc\uc758 \uac70\uc758 \ubaa8\ub4e0 \ub3c4\ub85c\ub294 \uc801\uc5b4\ub3c4 500\ub144 \uc804\uc5d0 \uac74\uc124\ub418\uc5c8\ub2e4. \ube44\uac00 \uc628 \uc774\ud6c4\uc5d0\ub294 \ub3c4\ub85c\uc5d0 \ubb3c \uc6c5\ub369\uc774\uac00 \ub9ce\uc774 \uc0dd\uae30\uace0, \uc5ec\ud589\uac1d\uc740 \ub3c4\ub85c \uc0c1\ud669\uc774 \uc88b\uc9c0 \uc54a\uc74c\uc744 \uc624\ub79c \uae30\uac04 \ud56d\uc758\ud588\ub2e4. \uacbd\uc8fc\uc2dc\ub294 \ubb38\ud654\uc7ac \ubcf4\ud638\uc5d0 \ub354 \uc9d1\uc911\ud558\uace0 \uc788\uae30 \ub54c\ubb38\uc5d0, \uc774\ubc88\uc5d0 \ub3c4\ub85c \ud558\ub098\ub9cc \uc218\ub9ac\ub97c \ud558\ub824\uace0 \ud55c\ub2e4. \uc774\ubc88\uc5d0 \uace0\uce60 \ub3c4\ub85c\ub294 4\ucc28\uc120 \ub3c4\ub85c\uc774\uace0, \uac01 \ubc29\ud5a5\uc73c\ub85c 2\ucc28\uc120 \ub3c4\ub85c\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc218\ub9ac\ub97c \ud558\ub294 \ub3c4\uc911\uc5d0 \ub3c4\ub85c\ub97c \uc644\uc804\ud788 \ud1b5\uc81c\ud558\uba74, \uc2dc\ubbfc\ub4e4\uc758 \ubd88\ud3b8\uc740 \ub9e4\uc6b0 \uc2ec\ud574\uc9c0\uac8c \ub41c\ub2e4. \ub530\ub77c\uc11c, \uac01 \ubc29\ud5a5\uc73c\ub85c \ud55c \ucc28\uc120\uc529 \uba3c\uc800 \ud1b5\uc81c\ud558\uace0 \uc218\ub9ac\ub97c \ud558\ub824\uace0 \ud55c\ub2e4. \uc218\ub9ac\ub418\ub294 \uad6c\uac04\uc5d0\uc11c \ub3c4\ub85c\ub294 1\ucc28\uc120\uc73c\ub85c \uc881\uc544\uc9c0\uac8c \ub418\uace0, 2\ucc28\uc120\uc73c\ub85c \uc774\ub3d9\ud558\ub358 \uc790\ub3d9\ucc28\ub294 1\ucc28\uc120\uc73c\ub85c \ud569\uccd0\uc838\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \uadf8\ub9bc 2\uc640 \uac19\uc774 \ub450 \ucc28\uc120\uc774 \uadf8\ub9bc 3\uacfc \uac19\uc774 \ud55c \ucc28\uc120\uc73c\ub85c \ud569\uccd0\uc9c0\ub294 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud574\ubcf4\uc790. \uac19\uc740 \uc0c9 \uc790\ub3d9\ucc28\ub97c \uad6c\ubd84\ud558\uae30 \uc704\ud574, \uac01 \ucc28\uc5d0 \uc22b\uc790\ub97c \ubd99\uc600\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl2.png\" style=\"height:117px; width:323px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">\uadf8\ub9bc 2. \ucc28\uc120\uc774 \ud569\uccd0\uc9c0\uae30 \uc804\uc5d0 \ub450 \ucc28\uc120\uc744 \uc774\ub3d9\ud558\ub294 \uc790\ub3d9\ucc28<\/p>\r\n\r\n<p>\uadf8\ub9bc 3\uc740 \ud55c \ucc28\uc120\uc73c\ub85c \ud569\uccd0\uc9c0\ub294 \ub450 \uc2dc\ub098\ub9ac\uc624\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uadf8\ub9bc 3\uc5d0\uc11c \ubcfc \uc218 \uc788\ub4ef\uc774, \ud55c \ucc28\uc120\uc758 \ubaa8\ub4e0 \ucc28\uac00 \uc9c4\uc785\ud55c \uc774\ud6c4\uc5d0 \ub2e4\ub978 \ucc28\uc120\uc758 \ucc28\uac00 \uc9c4\uc785\ud560 \ud544\uc694\ub294 \uc5c6\ub2e4. \uc11c\ub85c \ubc88\uac08\uc544\uac00\uba74\uc11c \ud55c \ucc28\uc120\uc73c\ub85c \uc9c4\uc785\ud560 \uc218 \uc788\ub2e4. \ud569\uccd0\uc9c4 \uc774\ud6c4\uc5d0\ub3c4 \uc790\ub3d9\ucc28 \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 1\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud569\uccd0\uc9c4 \uc774\ud6c4 (\uc2dc\ub098\ub9ac\uc624 1):<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl31.png\" style=\"height:55px; width:576px\" \/><\/p>\r\n\r\n<p>\ud569\uccd0\uc9c4 \uc774\ud6c4 (\uc2dc\ub098\ub9ac\uc624 2):<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl32.png\" style=\"height:51px; width:573px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">\uadf8\ub9bc 3. \ud55c \ucc28\uc120\uc73c\ub85c \ud569\uccd0\uc9c4 \uc774\ud6c4\uc758 \ub3c4\ub85c \uc0c1\ud669 (\ub450 \uac00\uc9c0)<\/p>\r\n\r\n<p>\uadf8\ub9bc 3\uc5d0 \ub098\uc628 \uac01\uac01\uc758 \uc2dc\ub098\ub9ac\uc624\uc5d0 \ub300\ud574\uc11c, \uc0c9\uc0c1\uc758 \uae38\uc774\uc640 \ud569\uc744 \uad6c\ud574\ubcf4\uba74 \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:35%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\uc0c9\uc0c1<\/th>\r\n\t\t\t<th>G<\/th>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<th>B<\/th>\r\n\t\t\t<th>R<\/th>\r\n\t\t\t<th>\ud569\uacc4<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>L(c): \uc2dc\ub098\ub9ac\uc624 1<\/th>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>19<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>L(c): \uc2dc\ub098\ub9ac\uc624 2<\/th>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>12<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uadf8\ub9bc 3\uc5d0 \ub098\uc640\uc788\ub294 \ubc29\ubc95 \ub9d0\uace0\ub3c4 \ucc28\uc120\uc744 \ud569\uce58\ub294 \ubc29\ubc95\uc740 \uc5ec\ub7ec \uac00\uc9c0\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud569\uccd0\uc9c0\uae30 \uc804, \ub450 \ucc28\uc120\uc758 \uc790\ub3d9\ucc28 \uc0c9\uc0c1 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub54c, \uc0c9\uc0c1\uc758 \uae38\uc774\uc758 \ud569\uc774 \uac00\uc7a5 \ucd5c\uc18c\uac00 \ub418\uac8c \ucc28\uc120\uc744 \ud569\uce58\ub294 \ubc29\ubc95\uc744 \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 T\uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub450 \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uccab\uc9f8 \uc904\uc5d0\ub294 \ud55c \ucc28\uc120\uc758 \uc790\ub3d9\ucc28 \uc0c9\uc0c1 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c0\uba70, \ub458\uc9f8 \uc904\uc5d0\ub294 \ub2e4\ub978 \ucc28\uc120\uc758 \uc790\ub3d9\ucc28 \uc0c9\uc0c1 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc0c9\uc0c1\uc740 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\ub85c \ub098\ud0c0\ub0b8\ub2e4. \uc989, \uc0c9\uc0c1\uc758 \uac1c\uc218\ub294 26\uac1c\uc774\ub2e4.&nbsp;\ud55c \ucc28\uc120\uc5d0 \uc788\ub294 \uc790\ub3d9\ucc28\uc758 \uc218\ub294 1\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uc73c\uba74, 5,000\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ub9c8\ub2e4, \ud55c \ucc28\uc120\uc73c\ub85c \ud569\uccd0\uc9c4 \uc774\ud6c4\uc758 \uc0c9\uc0c1 \uae38\uc774\uc758 \ud569\uc758 \ucd5c\uc19f\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"8902","problem_lang":"1","title":"Color Length","description":"<p>Cars painted in different colors are moving in a row on the road as shown in Figure 1. The color of each car is represented by a single character and the distance of two adjacent cars is assumed to be 1. Figure 1 shows an example of such cars on the road. For convenience, the numbers in Figure 1 represent the locations of each car.&nbsp;<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl1.png\" style=\"height:69px; text-align:center; width:460px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">Figure 1. Cars in different colors on the road&nbsp;<\/p>\r\n\r\n<p>For any color c, location(c) represents set of the locations of the cars painted in color c and color length L(c) is defined as follows:&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\">\\(L(c) = max \\left\\{location(c)\\right\\}&nbsp;- min \\left\\{location(c)\\right\\}\\)<\/p>\r\n\r\n<p>For example, according to Figure 1, location(G) = {1,5,6}, location(Y) = {2,7}, location(B) = {3}, and location(R) ={4, 8}. Hence the color length of each color and the sum of the color lengths are as follows.&nbsp;<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:25%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>Color<\/th>\r\n\t\t\t<th>G<\/th>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<th>B<\/th>\r\n\t\t\t<th>R<\/th>\r\n\t\t\t<th>Sum<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>L(c)<\/th>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>14<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>In Gyeongju City, almost all the roads including the main street of the city were constructed more than 500 years ago. The roads are so old that there are a lot of puddles after rain. Visitors have complained about the bad condition of the roads for many years. Due to the limited budget, the mayor of the city decided to repair firstly the main street of the city, which is a four-lane road, two lanes for each direction.&nbsp;<\/p>\r\n\r\n<p>However, since the main street is a backbone of the city, it should not be blocked completely while it is under repair, or it is expected that serious traffic jams will occur on almost all the other roads in the city. To allow cars to use the main street during the repair period, the city decided to block only two lanes, one lane for each direction. Hence, the cars in the two lanes for each direction should merge into a single lane before the blocked zone.&nbsp;<\/p>\r\n\r\n<p>For instance, as shown in Figure 2, cars in the two lanes merge into a single lane as shown in Figure 3. To differentiate the cars in the same color, a unique identifier is assigned to each car.&nbsp;<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl2.png\" style=\"height:117px; text-align:center; width:323px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">Figure 2. Cars moving in two lanes before merging&nbsp;<\/p>\r\n\r\n<p>Figure 3 shows two different merging scenarios after merging the cars from the two lanes. As shown in Figure 3, cars in the two lanes do not necessarily merge one by one from each lane. The distance between two adjacent cars after merging is also assumed 1.&nbsp;<\/p>\r\n\r\n<p>After merging (Scenario 1):&nbsp;<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl31.png\" style=\"height:55px; text-align:center; width:576px\" \/><\/p>\r\n\r\n<p>After merging (Scenario 2):&nbsp;<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/cl32.png\" style=\"height:51px; text-align:center; width:573px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">Figure 3. Two different merging scenarios&nbsp;<\/p>\r\n\r\n<p>For each merging scenario shown in Figure 3, the color length for each color and the sum of the color lengths are as follows:&nbsp;<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:35%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>Color<\/th>\r\n\t\t\t<th>G<\/th>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<th>B<\/th>\r\n\t\t\t<th>R<\/th>\r\n\t\t\t<th>Sum<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>L(c): Scenario 1<\/th>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>19<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>L(c): Scenario 2<\/th>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>12<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>As you can imagine, there are many different ways of merging other than the two examples shown in Figure 3.&nbsp;<\/p>\r\n\r\n<p>Given two character strings which represent the color information of the cars in the two lanes before merging, write a program to find the sum of color lengths obtained from the character string, which is the color information of cars after merging, such that the sum of color lengths is minimized.&nbsp;<\/p>\r\n","input":"<p>Your program is to read from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case consists of two lines. In the first line, a character string of length n (1 &le; n &le; 5,000) that is the color information of the cars in one lane before merging is given. In the second line, a character string of length m (1 &le; m &le; 5,000) that is the color information of the cars in the other lane is given. Every color is represented as an uppercase letter in English, hence the number of colors is less than or equal to 26.&nbsp;<\/p>\r\n","output":"<p>Your program is to read from standard input. Print exactly one line for each test case. The line should contain the sum of color lengths after merging the cars in the two lanes optimally as described above.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > Regionals > Asia > Korea > Asia Regional - Daejeon 2011 C번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: shgmldbs